The Number of Arrivals at a Local Petrol Station Between

question 28

Essay

The number of arrivals at a local petrol station between 3:00 and 5:00pm has a Poisson distribution with a mean of 12.
a. Find the probability that the number of arrivals between 3:00 and 5:00pm is at least 10.
b. Find the probability that the number of arrivals between 3:30 and 4:00pm is at least 10.
c. Find the probability that the number of arrivals between 4:00 and 5:00pm is exactly two.

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Definitions:

Job-Order Costing

A costing system used to accumulate costs of manufacturing a job or batch, where each job or batch has its distinct characteristics.

Predetermined Overhead Rate

This rate is calculated before a period begins and is used to apply overhead costs to products based on a selected activity base.

Job-Order Costing

A cost accounting system used to allocate costs to specific jobs or batches, useful for unique or custom orders.

Machine-Hours

A measure of production time, referring to the total hours a machine is operated within a specific period.